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Finding the Third Proportional to 19,656 and 43,704

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Solution

The third proportional to 19,656 and 43,704 is: 97,173.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,656 : 43,704 = 43,704 : x
  2. Step 2: Convert to fraction form
    19,656/43,704 = 43,704/x
  3. Step 3: Cross multiply
    19,656x = 43,704 × 43,704
  4. Step 4: Simplify right side
    19,656x = 1,910,039,616
  5. Step 5: Solve for x
    x = 1,910,039,616/19,656
  6. Step 6: Final answer
    x = 97,173.36

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.